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Convergence of Known Distributions to Limiting Normal or Non-normal Distributions: An Elementary Ratio Technique |
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| Authors: | Subhash Bagui K. L. Mehra |
| Affiliation: | 1. Department of Mathematics and Statistics, The University of West Florida, Pensacola, FL;2. Department of Mathematical and Statistical Sciences, University of Alberta, Edmonton, AB, Canada |
| Abstract: | This article presents an elementary informal technique for deriving the convergence of known distributions to limiting normal or non-normal distributions. The presentation should be of interest to teachers and students of first year graduate level courses in probability and statistics. |
| Keywords: | Arc-Sine distribution First passage Gamma distribution Levy's distribution Negative-Binomial distribution Random walk Ratio technique |